Earthquakes are generated by fault dislocations, propagates outward in the form of seismic waves in the stratum, and cause the mechanical response of the tunnel lining. In this paper, an evaluation model of circular tunnel lining under the action of dislocation earthquake point source in semi-infinite space is proposed, which describes the effect of the earthquake point source on the tunnels. First, the tunnel-source coordinate system is defined, the Green function-based equation for the stress field due to dislocation source in a semi-infinite medium is derived, and the source time function is introduced. Then, based on the seismic stress state at the tunnel location, the stress response of the tunnel-ground system is derived, and a miniature dynamic finite element model is developed to verify the evaluation model. Compared with existing related research, this evaluation model consists of the dislocation earthquake source and the local tunnel system, instead of only focusing on local tunnel systems, which can take into account the spatial location of the earthquake source and the tunnel, the magnitude, and the type of earthquake. In addition, the parameters such as source fault type, epicenter distance, magnitude, earthquake rise time, and tunnel azimuth are also discussed. The evaluation model can analyze the response of the tunnel during an earthquake at a larger scale.

中文翻译：

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半无限介质中错位地震点源作用下圆形隧道衬砌评价模型

地震由断层错动产生，在地层中以地震波的形式向外传播，引起隧道衬砌的力学响应。提出半无限空间错位地震点源作用下圆形隧道衬砌评价模型，描述地震点源对隧道的影响。首先定义了隧道-源坐标系，推导了半无限介质中位错源应力场的格林函数方程，并引入了源时间函数。然后，根据隧道所在位置的地震应力状态，推导了隧道-地面系统的应力响应，并建立了微型动态有限元模型来验证评估模型。与现有相关研究相比，该评价模型由错位震源和局部隧道系统组成，而不是仅仅关注局部隧道系统，可以综合考虑震源和隧道的空间位置、震级和隧道系统的影响。地震的类型。此外，还讨论了震源断层类型、震中距离、震级、震源时间、隧道方位角等参数。该评估模型可以在更大范围内分析隧道在地震过程中的响应。